Layer solutions for an Allen-Cahn type system driven by the fractional Laplacian
type: Item
instance of: scholarly article
title: Layer solutions for an Allen-Cahn type system driven by the fractional Laplacian
zbMATH Open document ID: 1332.82028
author: Yan Hu
published in: Communications on Pure and Applied Analysis
publication date: 2016-03-09T00:00:00Z
Mathematics Subject Classification ID: 82B26
Mathematics Subject Classification ID: 49Q20
Mathematics Subject Classification ID: 49J45
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 6552841
zbMATH Keywords: fractional Laplacian
zbMATH Keywords: Allen-Cahn systems
zbMATH Keywords: layer solutions
zbMATH Keywords: existence
zbMATH Keywords: variational methods
MaRDI profile type: Publication
full work available at URL: cpaa.2016.15.947
OpenAlex ID: W2525178764
cites work: Stationary layered solutions in \(\mathbb{R}^ 2\) for an Allen-Cahn system with multiple well potential
cites work: A three-layered minimizer in R2 for a variational problem with a symmetric three-well potential
cites work: An Extension Problem Related to the Fractional Laplacian
cites work: Layer solutions in a half‐space for boundary reactions
cites work: Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates
cites work: Nonlinear equations for fractional Laplacians II: Existence, uniqueness, and qualitative properties of solutions
cites work: Sharp energy estimates for nonlinear fractional diffusion equations
cites work: Energy estimates and 1-D symmetry for nonlinear equations involving the half-Laplacian
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: The local regularity of solutions of degenerate elliptic equations
cites work: Local and global minimizers for a variational energy involving a fractional norm
cites work: Regularity of the obstacle problem for a fractional power of the laplace operator
cites work: Fractional Laplacian phase transitions and boundary reactions: a geometric inequality and a symmetry result
DOI: 10.3934/CPAA.2016.15.947
description: scientific article; zbMATH DE number 6552841